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1061303064 = 2331719791733
BaseRepresentation
bin111111010000100…
…011001100011000
32201222000210002220
4333100203030120
54133143144224
6253151224040
735204633013
oct7720431430
92658023086
101061303064
114a5094778
12257518020
1313bb522a3
14a0d4837a
1563290279
hex3f423318

1061303064 has 128 divisors (see below), whose sum is σ = 2996352000. Its totient is φ = 311261184.

The previous prime is 1061302987. The next prime is 1061303069. The reversal of 1061303064 is 4603031601.

It is a super-2 number, since 2×10613030642 = 2252728387311576192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061303069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611542 + ... + 613274.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 21061303064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061303064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

1061303064 is an abundant number, since it is smaller than the sum of its proper divisors (1935048936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061303064 is a wasteful number, since it uses less digits than its factorization.

1061303064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1061303064 is about 32577.6466921722. The cubic root of 1061303064 is about 1020.0304566069.

Adding to 1061303064 its reverse (4603031601), we get a palindrome (5664334665).

The spelling of 1061303064 in words is "one billion, sixty-one million, three hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 79 102 114 136 152 158 204 228 237 316 323 408 456 474 632 646 948 969 1292 1343 1501 1733 1896 1938 2584 2686 3002 3466 3876 4029 4503 5199 5372 6004 6932 7752 8058 9006 10398 10744 12008 13864 16116 18012 20796 25517 29461 32232 32927 36024 41592 51034 58922 65854 76551 88383 98781 102068 117844 131708 136907 153102 176766 197562 204136 235688 263416 273814 306204 353532 395124 410721 547628 559759 612408 707064 790248 821442 1095256 1119518 1642884 1679277 2239036 2327419 2601233 3285768 3358554 4478072 4654838 5202466 6717108 6982257 7803699 9309676 10404932 13434216 13964514 15607398 18619352 20809864 27929028 31214796 44220961 55858056 62429592 88441922 132662883 176883844 265325766 353767688 530651532 1061303064